Answer:
Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.
Answer:
E(X) = 0.64
Sd(X) = 0.933
Step-by-step explanation:
3(0.07) + 2(0.11) + 1(0.21)
E(X²) = 3²(0.07) + 2²(0.11) + 1²(0.21)
= 1.28
Var(X) = 1.28 - 0.64² = 0.8704
Sd = 0.933
Answer:
11.2 miles
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
The side you are given is adjacent to the given angle, and the side you are asked to find is opposite the given angle. You can fill in the given values and solve for the required measure.
tan(66°) = BC/(5 mi)
Multiplying by 5 mi gives ...
BC = (5 mi)·tan(66°) = (5 mi)·2.246 = 11.23 mi ≈ 11.2 mi
Supplementary angles equal 10 degrees.
Let angle 6 = X
Angle 5 is 24 more than half of angle 6, which can be written as 1/2X +24
So now we have X + 1/2x +24 = 180
Combine the like terms ( X +1/2X = 1.5X)
1.5x + 24 = 180
Subtract 24 from each side:
1.5x = 156
Divide both sides by 1.5:
x = 156 / 1.5
X = 104
Angle 6 = 104 degrees.
Angle 5 = 180 - 104 = 76 degrees